Value of 12(2x-3y)² -16(3y-2x)
Plz give a brief explanation.plz
Answers
Answer:
Step-by-step explanation: Solve for
y
.
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Add
2
x
to both sides of the equation.
3
y
=
−
12
+
2
x
Divide each term by
3
and simplify.
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Divide each term in
3
y
=
−
12
+
2
x
by
3
.
3
y
3
=
−
12
3
+
2
x
3
Cancel the common factor of
3
.
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Cancel the common factor.
3
y
3
=
−
12
3
+
2
x
3
Divide
y
by
1
.
y
=
−
12
3
+
2
x
3
Divide
−
12
by
3
.
y
=
−
4
+
2
x
3
Rewrite in slope-intercept form.
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The slope-intercept form is
y
=
m
x
+
b
, where
m
is the slope and
b
is the y-intercept.
y
=
m
x
+
b
Reorder
−
4
and
2
x
3
.
y
=
2
x
3
−
4
Rewrite in slope-intercept form.
y
=
2
3
x
−
4
Use the slope-intercept form to find the slope and y-intercept.
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Find the values of
m
and
b
using the form
y
=
m
x
+
b
.
m
=
2
3
b
=
−
4
The slope of the line is the value of
m
, and the y-intercept is the value of
b
.
Slope:
2
3
y-intercept:
−
4
Any line can be graphed using two points. Select two
x
values, and plug them into the equation to find the corresponding
y
values.
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Choose
3
to substitute in for
x
to find the ordered pair.
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Replace the variable
x
with
3
in the expression.
f
(
3
)
=
2
(
3
)
3
−
4
Simplify the result.
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Multiply
2
by
3
.
f
(
3
)
=
6
3
−
4
Divide
6
by
3
.
f
(
3
)
=
2
−
4
Subtract
4
from
2
.
f
(
3
)
=
−
2
The final answer is
−
2
.
−
2
The
y
value at
x
=
3
is
−
2
.
y
=
−
2
Choose
0
to substitute in for
x
to find the ordered pair.
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Replace the variable
x
with
0
in the expression.
f
(
0
)
=
2
(
0
)
3
−
4
Simplify the result.
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Multiply
2
by
0
.
f
(
0
)
=
0
3
−
4
Divide
0
by
3
.
f
(
0
)
=
0
−
4
Subtract
4
from
0
.
f
(
0
)
=
−
4
The final answer is
−
4
.
−
4
The
y
value at
x
=
0
is
−
4
.
y
=
−
4
Create a table of the
x
and
y
values.
x
y
0
−
4
3
−
2
Graph the line using the slope and the y-intercept, or the points.
Slope:
2
3
y-intercept:
−
4
x
y
0
−
4
3
−
2
image of graph